Title :
Are equiripple digital FIR filters always optimal with minimax error criterion?
Author :
Tseng, Ching-Yih ; Griffiths, Lloyd J.
Author_Institution :
Dept. of Electr. Eng. Syst., Univ. of Southern California, Los Angeles, CA, USA
Abstract :
For exact linear phase digital finite impulse response (FIR) filters, it is well known that a filter with equiripple error function must be optimal with the minimax (Chebyshev) error criterion. The present letter points out that such analogy is not true for FIR filters which approximate arbitrarily specified magnitude and phase responses.<>
Keywords :
Chebyshev approximation; delay circuits; digital filters; frequency response; minimax techniques; Chebyshev error criterion; equiripple digital FIR filters; equiripple error function; exact linear phase digital finite impulse response filters; magnitude and phase responses; minimax error criterion; optimal filters; phase responses; Approximation algorithms; Chebyshev approximation; Digital filters; Finite impulse response filter; Frequency response; Iterative algorithms; Linear programming; Minimax techniques; Nonlinear filters; Signal processing;
Journal_Title :
Signal Processing Letters, IEEE
